dorsal/arxiv
View SchemaSeniority conservation and seniority violation in the g_{9/2} shell
| Authors | A. Escuderos, L. Zamick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0511024 |
| URL | https://arxiv.org/abs/nucl-th/0511024 |
| DOI | 10.1103/PhysRevC.73.044302 |
| Journal | Phys.Rev. C73 (2006) 044302 |
Abstract
The g_{9/2} shell of identical particles is the first one for which one can have seniority-mixing effects. We consider three interactions: a delta interaction that conserves seniority, a quadrupole-quadrupole (QQ) interaction that does not, and a third one consisting of two-body matrix elements taken from experiment (98Cd) that also leads to some seniority mixing. We deal with proton holes relative to a Z=50,N=50 core. One surprising result is that, for a four-particle system with total angular momentum I=4, there is one state with seniority v=4 that is an eigenstate of any two-body interaction--seniority conserving or not. The other two states are mixtures of v=2 and v=4 for the seniority-mixing interactions. The same thing holds true for I=6. Another point of interest is that the splittings E(I_{max})-E(I_{min}) are the same for three and five particles with a seniority conserving interaction (a well known result), but are equal and opposite for a QQ interaction. We also fit the spectra with a combination of the delta and QQ interactions. The Z=40,N=40 core plus g_{9/2} neutrons (Zr isotopes) is also considered, although it is recognized that the core is deformed.
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"abstract": "The g_{9/2} shell of identical particles is the first one for which one can\nhave seniority-mixing effects. We consider three interactions: a delta\ninteraction that conserves seniority, a quadrupole-quadrupole (QQ) interaction\nthat does not, and a third one consisting of two-body matrix elements taken\nfrom experiment (98Cd) that also leads to some seniority mixing. We deal with\nproton holes relative to a Z=50,N=50 core. One surprising result is that, for a\nfour-particle system with total angular momentum I=4, there is one state with\nseniority v=4 that is an eigenstate of any two-body interaction--seniority\nconserving or not. The other two states are mixtures of v=2 and v=4 for the\nseniority-mixing interactions. The same thing holds true for I=6. Another point\nof interest is that the splittings E(I_{max})-E(I_{min}) are the same for three\nand five particles with a seniority conserving interaction (a well known\nresult), but are equal and opposite for a QQ interaction. We also fit the\nspectra with a combination of the delta and QQ interactions. The Z=40,N=40 core\nplus g_{9/2} neutrons (Zr isotopes) is also considered, although it is\nrecognized that the core is deformed.",
"arxiv_id": "nucl-th/0511024",
"authors": [
"A. Escuderos",
"L. Zamick"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.044302",
"journal_ref": "Phys.Rev. C73 (2006) 044302",
"title": "Seniority conservation and seniority violation in the g_{9/2} shell",
"url": "https://arxiv.org/abs/nucl-th/0511024"
},
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